First Steps for Math Olympians: Using the American Mathematics Competitions / Edition 1

First Steps for Math Olympians: Using the American Mathematics Competitions / Edition 1

by J. Douglas Faires
     
 

A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to

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Overview

A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone preparing for the Mathematical Olympiads will find many useful ideas here, but people generally interested in logical problem solving should also find the problems and their solutions stimulating. The book can be used either for self-study or as topic-oriented material and samples of problems for practice exams. Useful reading for anyone who enjoys solving mathematical problems, and equally valuable for educators or parents who have children with mathematical interest and ability.

Product Details

ISBN-13:
9780883858240
Publisher:
Mathematical Association of America
Publication date:
08/31/2006
Series:
Problem Bks.
Edition description:
New Edition
Pages:
322
Product dimensions:
6.20(w) x 9.10(h) x 0.90(d)

Meet the Author

Table of Contents

Preface; 1. Arithmetic ratios; 2. Polynomials and their zeros; 3. Exponentials and radicals; 4. Defined functions and operations; 5. Triangle geometry; 6. Circle geometry; 7. Polygons; 8. Counting; 9. Probability; 10. Prime decomposition; 11. Number theory; 12. Sequences and series; 13. Statistics; 14. Trigonometry; 15. Three-dimensional geometry; 16. Functions; 17. Logarithms; 18. Complex numbers; Solutions to exercises; Epilogue; Sources of the exercises; Index; About the author.

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